21 citations · 24 across the 6 of their papers we have counts for
8 papers
Universal scaling limits at the spectral singularity of structured random matrices
Markus Ebke, Torben Krüger
The empirical spectral distribution of Hermitian -block random matrices converges to a deterministic density on the real line with a potential atom at the origin as the…
Planar Novikov-Shubin invariant for adjacency matrices of structured directed dense random graphs
Torben Krüger, David Renfrew
The Novikov-Shubin invariant associated to a graph provides information about the accumulation of eigenvalues of the corresponding adjacency matrix close to the origin. For a direc…
Brown measures of deformed -valued circular elements
Johannes Alt, Torben Krüger
We consider the Brown measure of , where lies in a commutative tracial von Neumann algebra and is a -valued circular e…
Spectrum occupies pseudospectrum for random matrices with diagonal deformation and variance profile
Johannes Alt, Torben Krüger
We consider non-Hermitian random matrices with independent entries and a variance profile, as well as an additive deterministic diagonal deformation. We show that their…
Local elliptic law
Johannes Alt, Torben Krüger
The empirical eigenvalue distribution of the elliptic random matrix ensemble tends to the uniform measure on an ellipse in the complex plane as its dimension tends to infinity. We…
Inhomogeneous Circular Law for Correlated Matrices
Johannes Alt, Torben Krüger
We consider non-Hermitian random matrices with general decaying correlations between their entries. For large , the empirical spectral distributi…
Cusp Universality for Random Matrices II: The Real Symmetric Case
Giorgio Cipolloni, László Erdős, Torben Krüger +1
We prove that the local eigenvalue statistics of real symmetric Wigner-type matrices near the cusp points of the eigenvalue density are universal. Together with the companion paper…
The Dyson equation with linear self-energy: spectral bands, edges and cusps
Johannes Alt, Laszlo Erdos, Torben Krüger
We study the unique solution of the Dyson equation \[ -m(z)^{-1} = z - a + S[m(z)] \] on a von Neumann algebra with the constraint . Here, $…